Talk:Tenney norm: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
VisualWikitext
Wikispaces>FREEZE
No edit summary
 
Sintel (talk | contribs)
autopatrolled, emailconfirmed
1,548 edits
m Sintel moved page Talk:Tenney height to Talk:Tenney norm: per discussion
 
(6 intermediate revisions by 6 users not shown)
Line 1: Line 1:
= ARCHIVED WIKISPACES DISCUSSION BELOW =
{{WSArchiveLink}}
'''All discussion below is archived from the Wikispaces export in its original unaltered form.'''
----


== Contradiction ==
== Move to Tenney norm ==
http://www.plainsound.org/pdfs/JC&ToH.pdf gives Tenney's "harmonic distance" as


<ul class="quotelist"><li>HD(fa, fb) ∝ log(a) + log(b) = log(ab)</li></ul>
This complexity is defined as a norm, which is (mostly) a stronger condition than being a height function.
In fact, the whole reason it is useful is because it is a norm, not a height.
For this reason, the title should be either "Tenney norm", or "Tenney harmonic distance", because that's what it was called originally.
– [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 18:18, 30 April 2025 (UTC)


where a/b is the frequency ratio fa/fb in simplified form:
: Agreed. --[[User:Cmloegcmluin|Cmloegcmluin]] ([[User talk:Cmloegcmluin|talk]]) 19:46, 30 April 2025 (UTC)
 
: Agreed. If "norm" is more commonly used than "harmonic distance" (for the Tenney case but also in general), then "norm" should be given priority despite Tenney calling it "harmonic distance". --[[User:Fredg999|Fredg999]] ([[User talk:Fredg999|talk]]) 21:53, 30 April 2025 (UTC)
<ul class="quotelist"><li>a = fa /gcd(fa, fb), b = fb /gcd(fa, fb), and a ≥ b</li></ul>
 
http://lumma.org/tuning/faq/#heights  defines it as sqrt(n*d), which is not the same.
 
sqrt(100*7) = 26.45
 
log2(100*7) =  9.45
 
- '''Omegatron''' September 11, 2014, 07:33:46 AM UTC-0700
----
Tenney *harmonic distance* is not Tenney *height*, which is the topic of this page. My FAQ defines Tenney height as a*b. It says Tenney height is *generalized* to geomean(a*b*c...).
 
On this wiki, a*b is called Benedetti height. The name was changed after my FAQ was written, since Benedetti had priority.
 
- '''clumma''' February 06, 2015, 08:19:12 PM UTC-0800
----

Latest revision as of 21:00, 3 May 2025

This page also contains archived Wikispaces discussion.

Move to Tenney norm

This complexity is defined as a norm, which is (mostly) a stronger condition than being a height function. In fact, the whole reason it is useful is because it is a norm, not a height. For this reason, the title should be either "Tenney norm", or "Tenney harmonic distance", because that's what it was called originally. – Sintel🎏 (talk) 18:18, 30 April 2025 (UTC)

Agreed. --Cmloegcmluin (talk) 19:46, 30 April 2025 (UTC)
Agreed. If "norm" is more commonly used than "harmonic distance" (for the Tenney case but also in general), then "norm" should be given priority despite Tenney calling it "harmonic distance". --Fredg999 (talk) 21:53, 30 April 2025 (UTC)
Retrieved from "https://en.xen.wiki/index.php?title=Talk:Tenney_norm&oldid=195046"